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Volumn 57, Issue 2-3, 1996, Pages 243-278

A modern elaboration of the ramified theory of types

Author keywords

Ramified type theory; Substitution; Typed lambda calculus

Indexed keywords


EID: 0009996549     PISSN: 00393215     EISSN: 15728730     Source Type: Journal    
DOI: 10.1007/BF00370835     Document Type: Article
Times cited : (8)

References (32)
  • 4
    • 0003825031 scopus 로고
    • P. Benacerraf and H. Putnam, editors, Cambridge University Press, second edition
    • P. Benacerraf and H. Putnam, editors, 1983, Philosophy of Mathematics, Cambridge University Press, second edition.
    • (1983) Philosophy of Mathematics
  • 5
    • 0004137429 scopus 로고
    • Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam
    • E.W. Beth, 1959, The Foundations of Mathematics, Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam.
    • (1959) The Foundations of Mathematics
    • Beth, E.W.1
  • 6
    • 0003180840 scopus 로고
    • A formulation of the simple theory of types
    • A. Church, 1940, A formulation of the simple theory of types, The Journal of Symbolic Logic 5, 56-68.
    • (1940) The Journal of Symbolic Logic , vol.5 , pp. 56-68
    • Church, A.1
  • 7
    • 0009962202 scopus 로고
    • Comparison of Russell's resolution of the semantic antinomies with that of Tarski
    • A. Church, 1976, Comparison of Russell's resolution of the semantic antinomies with that of Tarski, The Journal of Symbolic Logic 41, 747-760.
    • (1976) The Journal of Symbolic Logic , vol.41 , pp. 747-760
    • Church, A.1
  • 11
    • 0004265334 scopus 로고
    • A.A. Fraenkel, Y. Bar-Hillel, and A. Levy, second edition, Studies in Logic and the Foundations of Mathematics 67, North Nolland, Amsterdam
    • A.A. Fraenkel, Y. Bar-Hillel, and A. Levy, second edition, 1973, Foundations of Set Theory, Studies in Logic and the Foundations of Mathematics 67, North Nolland, Amsterdam.
    • (1973) Foundations of Set Theory
  • 16
    • 34347193348 scopus 로고
    • Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I
    • German; English translation in 18J.
    • K. Gödel, 1931, Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I, Monatshefte für Mathematik und Physik 38, 173-198, German; English translation in [18J.
    • (1931) Monatshefte für Mathematik und Physik , vol.38 , pp. 173-198
    • Gödel, K.1
  • 17
    • 0039188894 scopus 로고
    • Russell's mathematical logic
    • P.A. Schlipp, editor, Evanston & Chicago, Northwestern University. Also in 4J.
    • K. Gödel, 1944, Russell's mathematical logic, in P.A. Schlipp, editor, The Philosophy of Bertrand Russell, Evanston & Chicago, Northwestern University. Also in [4J.
    • (1944) The Philosophy of Bertrand Russell
    • Gödel, K.1
  • 18
    • 0003691342 scopus 로고
    • J. van Heijenoort, editor, Harvard University Press, Cambridge, Massachusetts, 1879-1931
    • J. van Heijenoort, editor, 1967, From Frege to Gödel: A Source Book in Mathematical Logic, Harvard University Press, Cambridge, Massachusetts, 1879-1931.
    • (1967) From Frege to Gödel: a Source Book in Mathematical Logic
  • 19
    • 0003879089 scopus 로고
    • D. Hubert and W. Ackermann, first edition, Die Grundlehren der Mathematischen Wissenschaften in Einzeldarstellungen, Band XXVII, Springer Verlag, Berlin
    • D. Hubert and W. Ackermann, first edition, 1928, Grundzüge der Theoretischen Logik, Die Grundlehren der Mathematischen Wissenschaften in Einzeldarstellungen, Band XXVII, Springer Verlag, Berlin.
    • (1928) Grundzüge der Theoretischen Logik
  • 22
    • 0000235860 scopus 로고
    • Outline of a theory of truth
    • S. Kripke, 1975, Outline of a theory of truth, Journal of Philosophy 72, 690-716.
    • (1975) Journal of Philosophy , vol.72 , pp. 690-716
    • Kripke, S.1
  • 23
    • 0010037862 scopus 로고
    • A formalization of the Ramified Type Theory
    • TUE Computing Science Reports, Eindhoven University of Technology
    • T.D.L. Laan, 1994, A formalization of the Ramified Type Theory, Technical Report 33, TUE Computing Science Reports, Eindhoven University of Technology.
    • (1994) Technical Report 33
    • Laan, T.D.L.1
  • 27
    • 0000719960 scopus 로고
    • Mathematical logic as based on the theory of types
    • Also in 18J
    • B. Russell, 1908, Mathematical logic as based on the theory of types, American Journal of Mathematics 30. Also in [18J.
    • (1908) American Journal of Mathematics , vol.30
    • Russell, B.1
  • 29
    • 0003470383 scopus 로고
    • Een nadere bewijstheoretische analyse van GSTT's
    • Department of Computer Science, University of Nijmegen
    • J. Terlouw, 1989, Een nadere bewijstheoretische analyse van GSTT's, Technical report, Department of Computer Science, University of Nijmegen.
    • (1989) Technical Report
    • Terlouw, J.1
  • 30
    • 0004041912 scopus 로고
    • Veit, Leipzig, 1918, German; also in: Das Kontinuum und andere Monographien, Chelsea Pub.Comp., New York
    • H. Weyl, 1960, Das Kontinuum, Veit, Leipzig, 1918, German; also in: Das Kontinuum und andere Monographien, Chelsea Pub.Comp., New York.
    • (1960) Das Kontinuum
    • Weyl, H.1
  • 31
    • 0009138924 scopus 로고
    • Mathematics and logic: A brief survey serving as preface to a review of "The Philosophy of Bertrand Russell"
    • H. Weyl, 1946, Mathematics and logic: A brief survey serving as preface to a review of "The Philosophy of Bertrand Russell", American Mathematical Monthly.
    • (1946) American Mathematical Monthly
    • Weyl, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.